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</pre><pre class="rust"><code><span class="comment">// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// &quot;License&quot;); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing,
// software distributed under the License is distributed on an
// &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied. See the License for the
// specific language governing permissions and limitations
// under the License..
</span><span class="doccomment">//! Generating numbers between two others.
</span><span class="comment">// this is surprisingly complicated to be both generic &amp; correct
</span><span class="kw">use </span>std::num::Wrapping <span class="kw">as </span>w;
<span class="kw">use </span><span class="kw">crate</span>::distributions::{IndependentSample, Sample};
<span class="kw">use </span><span class="kw">crate</span>::Rng;
<span class="attribute">#[allow(clippy::needless_doctest_main)]
</span><span class="doccomment">/// Sample values uniformly between two bounds.
///
/// This gives a uniform distribution (assuming the RNG used to sample
/// it is itself uniform &amp; the `SampleRange` implementation for the
/// given type is correct), even for edge cases like `low = 0u8`,
/// `high = 170u8`, for which a naive modulo operation would return
/// numbers less than 85 with double the probability to those greater
/// than 85.
///
/// Types should attempt to sample in `[low, high)`, i.e., not
/// including `high`, but this may be very difficult. All the
/// primitive integer types satisfy this property, and the float types
/// normally satisfy it, but rounding may mean `high` can occur.
///
/// # Example
///
/// ```rust
/// use sgx_rand::distributions::{IndependentSample, Range};
///
/// fn main() {
/// let between = Range::new(10, 10000);
/// let mut rng = sgx_rand::thread_rng();
/// let mut sum = 0;
/// for _ in 0..1000 {
/// sum += between.ind_sample(&amp;mut rng);
/// }
/// println!(&quot;{}&quot;, sum);
/// }
/// ```
</span><span class="attribute">#[derive(Clone, Copy, Debug)]
</span><span class="kw">pub struct </span>Range&lt;X&gt; {
low: X,
range: X,
accept_zone: X,
}
<span class="kw">impl</span>&lt;X: SampleRange + PartialOrd&gt; Range&lt;X&gt; {
<span class="doccomment">/// Create a new `Range` instance that samples uniformly from
/// `[low, high)`. Panics if `low &gt;= high`.
</span><span class="kw">pub fn </span>new(low: X, high: X) -&gt; Range&lt;X&gt; {
<span class="macro">assert!</span>(low &lt; high, <span class="string">&quot;Range::new called with `low &gt;= high`&quot;</span>);
SampleRange::construct_range(low, high)
}
}
<span class="kw">impl</span>&lt;Sup: SampleRange&gt; Sample&lt;Sup&gt; <span class="kw">for </span>Range&lt;Sup&gt; {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sample&lt;R: Rng&gt;(<span class="kw-2">&amp;mut </span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; Sup {
<span class="self">self</span>.ind_sample(rng)
}
}
<span class="kw">impl</span>&lt;Sup: SampleRange&gt; IndependentSample&lt;Sup&gt; <span class="kw">for </span>Range&lt;Sup&gt; {
<span class="kw">fn </span>ind_sample&lt;R: Rng&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; Sup {
SampleRange::sample_range(<span class="self">self</span>, rng)
}
}
<span class="doccomment">/// The helper trait for types that have a sensible way to sample
/// uniformly between two values. This should not be used directly,
/// and is only to facilitate `Range`.
</span><span class="kw">pub trait </span>SampleRange: Sized {
<span class="doccomment">/// Construct the `Range` object that `sample_range`
/// requires. This should not ever be called directly, only via
/// `Range::new`, which will check that `low &lt; high`, so this
/// function doesn&#39;t have to repeat the check.
</span><span class="kw">fn </span>construct_range(low: <span class="self">Self</span>, high: <span class="self">Self</span>) -&gt; Range&lt;<span class="self">Self</span>&gt;;
<span class="doccomment">/// Sample a value from the given `Range` with the given `Rng` as
/// a source of randomness.
</span><span class="kw">fn </span>sample_range&lt;R: Rng&gt;(r: <span class="kw-2">&amp;</span>Range&lt;<span class="self">Self</span>&gt;, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>;
}
<span class="macro">macro_rules! </span>integer_impl {
(<span class="macro-nonterminal">$ty</span>:ty, <span class="macro-nonterminal">$unsigned</span>:ident) =&gt; {
<span class="kw">impl </span>SampleRange <span class="kw">for </span><span class="macro-nonterminal">$ty </span>{
<span class="comment">// we play free and fast with unsigned vs signed here
// (when $ty is signed), but that&#39;s fine, since the
// contract of this macro is for $ty and $unsigned to be
// &quot;bit-equal&quot;, so casting between them is a no-op &amp; a
// bijection.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>construct_range(low: <span class="macro-nonterminal">$ty</span>, high: <span class="macro-nonterminal">$ty</span>) -&gt; Range&lt;<span class="macro-nonterminal">$ty</span>&gt; {
<span class="kw">let </span>range = (w(high <span class="kw">as </span><span class="macro-nonterminal">$unsigned</span>) - w(low <span class="kw">as </span><span class="macro-nonterminal">$unsigned</span>)).<span class="number">0</span>;
<span class="kw">let </span>unsigned_max: <span class="macro-nonterminal">$unsigned </span>= ::std::<span class="macro-nonterminal">$unsigned::MAX</span>;
<span class="comment">// this is the largest number that fits into $unsigned
// that `range` divides evenly, so, if we&#39;ve sampled
// `n` uniformly from this region, then `n % range` is
// uniform in [0, range)
</span><span class="kw">let </span>zone = unsigned_max - unsigned_max % range;
Range {
low,
range: range <span class="kw">as </span><span class="macro-nonterminal">$ty</span>,
accept_zone: zone <span class="kw">as </span><span class="macro-nonterminal">$ty</span>,
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sample_range&lt;R: Rng&gt;(r: <span class="kw-2">&amp;</span>Range&lt;<span class="macro-nonterminal">$ty</span>&gt;, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="macro-nonterminal">$ty </span>{
<span class="kw">loop </span>{
<span class="comment">// rejection sample
</span><span class="kw">let </span>v = rng.gen::&lt;<span class="macro-nonterminal">$unsigned</span>&gt;();
<span class="comment">// until we find something that fits into the
// region which r.range evenly divides (this will
// be uniformly distributed)
</span><span class="kw">if </span>v &lt; r.accept_zone <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span>{
<span class="comment">// and return it, with some adjustments
</span><span class="kw">return </span>(w(r.low) + w((v % r.range <span class="kw">as </span><span class="macro-nonterminal">$unsigned</span>) <span class="kw">as </span><span class="macro-nonterminal">$ty</span>)).<span class="number">0</span>;
}
}
}
}
};
}
<span class="macro">integer_impl! </span>{ i8, u8 }
<span class="macro">integer_impl! </span>{ i16, u16 }
<span class="macro">integer_impl! </span>{ i32, u32 }
<span class="macro">integer_impl! </span>{ i64, u64 }
<span class="macro">integer_impl! </span>{ isize, usize }
<span class="macro">integer_impl! </span>{ u8, u8 }
<span class="macro">integer_impl! </span>{ u16, u16 }
<span class="macro">integer_impl! </span>{ u32, u32 }
<span class="macro">integer_impl! </span>{ u64, u64 }
<span class="macro">integer_impl! </span>{ usize, usize }
<span class="macro">macro_rules! </span>float_impl {
(<span class="macro-nonterminal">$ty</span>:ty) =&gt; {
<span class="kw">impl </span>SampleRange <span class="kw">for </span><span class="macro-nonterminal">$ty </span>{
<span class="kw">fn </span>construct_range(low: <span class="macro-nonterminal">$ty</span>, high: <span class="macro-nonterminal">$ty</span>) -&gt; Range&lt;<span class="macro-nonterminal">$ty</span>&gt; {
Range {
low,
range: high - low,
accept_zone: <span class="number">0.0</span>, <span class="comment">// unused
</span>}
}
<span class="kw">fn </span>sample_range&lt;R: Rng&gt;(r: <span class="kw-2">&amp;</span>Range&lt;<span class="macro-nonterminal">$ty</span>&gt;, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="macro-nonterminal">$ty </span>{
r.low + r.range * rng.gen::&lt;<span class="macro-nonterminal">$ty</span>&gt;()
}
}
};
}
<span class="macro">float_impl! </span>{ f32 }
<span class="macro">float_impl! </span>{ f64 }
</code></pre></div>
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